The method contains the following steps. First, in a MCM
system with N sub-carriers, the
baseband signal blocks Xj, j=1, 2, . . . ,B are supplemented with zeros and processed with LN-point IFFT, respectively, to obtain L-time oversampled time-domain
signal blocks xj, j=1,2, . . . ,B. Then, xj undergoes Q
Time Domain Circular Shifts or
Frequency Domain Circular Shifts to obtain Q
signal blocks {tilde over (x)}j(i<sub2>j< / sub2>), ij=1,Λ,Q. Subsequently, a B×B unitary transform is performed against ( x1,{tilde over (x)}2(i<sub2>2< / sub2>), . . . ,{tilde over (x)}B(i<sub2>B< / sub2>)). After the unitary transform, for each (i2, . . . ,iB) a combination having B time-domain signal blocks is obtained as follows: ({tilde over (y)}1(i<sub2>2< / sub2>, . . . ,i<sub2>B< / sub2>),{tilde over (y)}2(i<sub2>2< / sub2>, . . . ,i<sub2>B< / sub2>), . . . ,{tilde over (y)}B(i<sub2>2< / sub2>, . . . ,i<sub2>B< / sub2>)=( x1,{tilde over (x)}2(i<sub2>2< / sub2>), . . . ,{tilde over (x)}B(i<sub2>B< / sub2>)) cU where U is the B×B
unitary matrix, and c is an arbitrary constant (c≠0). Finally, the total QB-1 combinations are compared against each other to select a best candidate for transmission that could produce the lowest
peak value, or the smallest PAPR, or the lowest
clipping noise power.